New 1 TB SSD installing

Hi..

My MacBook Pro late 2011 was acting very strange for a couple of days. When startup, it showed a grey screen with thin stripes, sometimes bluescreen with white thin stripes. It would shut down and start up again, but the satus bar only got half the way and then it was shutting down. So I thought it was the 500 GB SSD drive that was faulty, but the hardware test (cmd + D) didn’t show any fail! Suddenly today it was starting up perfectly!!!! I already got a new 1 TB SSD disc to install, so the question is….what could be wrong with the Mac and how do I use my timemachine backup (I have just performed a new backup) to the new 1 TB SSD disc that I planed to install..after all now I have it ;-)

Thanks everyone for reply…..hope the MacBook Pro still survives some years.